Use our free GCF of Fractions Calculator tool to compute the GCF of 7448/876, 4076/3622 i.e 4/1586436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7448/876, 4076/3622.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7448/876,4076/3622
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7448/876,4076/3622, numerators are 7448,4076
Denominators are 876,3622
The GCF of 7448,4076 is 4 .
LCM of 876,3622 is 1586436.
The greatest common factor of 7448/876,4076/3622 = [GCF of 7448,4076]/[LCM of 876,3622]= 4/1586436
Therefore, the GCF of 7448/876,4076/3622 is 4/1586436.
To find the highest common factor of 7448,4076, we have to find the factors of both numbers and list the highest common factor.
The factors of 7448 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724, 7448
The factors of 4076 are 1, 2, 4, 1019, 2038, 4076
The HCF of 7448,4076 is 4.
Lets's calculate GCF of 7448,4076
2 | 7448, 4076 |
2 | 3724, 2038 |
1862, 1019 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 7448
:1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448
Now, list down the factors of 4076
:1,2,4,1019,2038,4076
Greatest Common Factor
We found the factors 7448,4076 . The biggest common factor number is the GCF number.
So the greatest common factor 7448,4076 is 4.
Lets's calculate LCM of 876,3622
2 | 876, 3622 |
438, 1811 |
∴ So the LCM of the given numbers is 2 x 438 x 1811 = 1586436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1586436
Therefore, the GCF of Fractions 7448/876,4076/3622 is 4/1586436
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 876,3622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,3622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,3622) x common factors =2 x 1 = 2
LCM(876,3622) = ( 876 × 3622 ) / 2
LCM(876,3622) = 3172872 / 2
LCM(876,3622) = 1586436
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7448,4076?
The HCF of 7448,4076 is 4
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7448/876, 4076/3622?
Answer: GCF of Numerators as per given numbers 7448/876, 4076/3622 is
GCF of Numerators i.e. for 7448,4076 is 4
LCM of denominators i.e. for 876,3622 is 1586436.
Thus, GCF of Fractions is 4/1586436.Finally, GCF of Fractions for 7448/876, 4076/3622 is 4/1586436.